3956049152 has 144 divisors (see below), whose sum is σ = 8993436480. Its totient is φ = 1720320000.

The previous prime is 3956049143. The next prime is 3956049157. The reversal of 3956049152 is 2519406593.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956049157) 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 15 ways as a sum of consecutive naturals, for example, 15761027 + ... + 15761277.

It is an arithmetic number, because the mean of its divisors is an integer number (62454420).

Almost surely, 2^3956049152 is an apocalyptic number.

3956049152 is a gapful number since it is divisible by the number (32) 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 3956049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496718240).

3956049152 is an abundant number, since it is smaller than the sum of its proper divisors (5037387328).

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

3956049152 is a wasteful number, since it uses less digits than its factorization.

3956049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 44.

The square root of 3956049152 is about 62897.1315085195. The cubic root of 3956049152 is about 1581.5656584235.

The spelling of 3956049152 in words is "three billion, nine hundred fifty-six million, forty-nine thousand, one hundred fifty-two".