3370086720 has 1008 divisors, whose sum is σ = 15936455808. Its totient is φ = 642539520.

The previous prime is 3370086697. The next prime is 3370086721. The reversal of 3370086720 is 276800733.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3370086720² = 22714969000640716800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3370086721) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20180077 + ... + 20180243.

It is an arithmetic number, because the mean of its divisors is an integer number (15809976).

Almost surely, 2^3370086720 is an apocalyptic number.

3370086720 is a gapful number since it is divisible by the number (30) 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 3370086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968227904).

3370086720 is an abundant number, since it is smaller than the sum of its proper divisors (12566369088).

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

3370086720 is a wasteful number, since it uses less digits than its factorization.

3370086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3370086720 is about 58052.4480103983. The cubic root of 3370086720 is about 1499.2717531616.

The spelling of 3370086720 in words is "three billion, three hundred seventy million, eighty-six thousand, seven hundred twenty".