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3970122336 = 2537174771
BaseRepresentation
bin1110110010100011…
…0100001001100000
3101020200111010000000
43230220310021200
531112322403321
61453541300000
7200245324455
oct35450641140
911220433000
103970122336
111758037744
12929704600
134b369031b
142993b782c
15183822826
hexeca34260

3970122336 has 384 divisors, whose sum is σ = 12854661120. Its totient is φ = 1201858560.

The previous prime is 3970122313. The next prime is 3970122337. The reversal of 3970122336 is 6332210793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3970122336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3970122337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55917181 + ... + 55917251.

It is an arithmetic number, because the mean of its divisors is an integer number (33475680).

Almost surely, 23970122336 is an apocalyptic number.

3970122336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3970122336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427330560).

3970122336 is an abundant number, since it is smaller than the sum of its proper divisors (8884538784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3970122336 is an equidigital number, since it uses as much as digits as its factorization.

3970122336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3970122336 is about 63008.9067989598. The cubic root of 3970122336 is about 1583.4388508171.

The spelling of 3970122336 in words is "three billion, nine hundred seventy million, one hundred twenty-two thousand, three hundred thirty-six".