3952153296 has 800 divisors, whose sum is σ = 15487008768. Its totient is φ = 944317440.

The previous prime is 3952153277. The next prime is 3952153357. The reversal of 3952153296 is 6923512593.

3952153296 is a `hidden beast` number, since 3 + 9 + 5 + 21 + 532 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84088345 + ... + 84088391.

Almost surely, 2^3952153296 is an apocalyptic number.

3952153296 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 3952153296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743504384).

3952153296 is an abundant number, since it is smaller than the sum of its proper divisors (11534855472).

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

3952153296 is a wasteful number, since it uses less digits than its factorization.

3952153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 3952153296 is about 62866.1538190464. The cubic root of 3952153296 is about 1581.0463207770.

The spelling of 3952153296 in words is "three billion, nine hundred fifty-two million, one hundred fifty-three thousand, two hundred ninety-six".