3953074752 has 280 divisors, whose sum is σ = 12887626752. Its totient is φ = 1188172800.

The previous prime is 3953074751. The next prime is 3953074777. The reversal of 3953074752 is 2574703593.

It is a junction number, because it is equal to n+sod(n) for n = 3953074698 and 3953074707.

It is not an unprimeable number, because it can be changed into a prime (3953074751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10321153 + ... + 10321535.

Almost surely, 2^3953074752 is an apocalyptic number.

3953074752 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 3953074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6443813376).

3953074752 is an abundant number, since it is smaller than the sum of its proper divisors (8934552000).

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

3953074752 is a wasteful number, since it uses less digits than its factorization.

3953074752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 3953074752 is about 62873.4821049383. The cubic root of 3953074752 is about 1581.1691864066.

The spelling of 3953074752 in words is "three billion, nine hundred fifty-three million, seventy-four thousand, seven hundred fifty-two".