3952791040 has 320 divisors, whose sum is σ = 11454981120. Its totient is φ = 1290403840.

The previous prime is 3952790999. The next prime is 3952791047. The reversal of 3952791040 is 401972593.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3952790984 and 3952791002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3952791047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11010381 + ... + 11010739.

It is an arithmetic number, because the mean of its divisors is an integer number (35796816).

Almost surely, 2^3952791040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3952791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727490560).

3952791040 is an abundant number, since it is smaller than the sum of its proper divisors (7502190080).

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

3952791040 is a wasteful number, since it uses less digits than its factorization.

3952791040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 3952791040 is about 62871.2258509407. The cubic root of 3952791040 is about 1581.1313586875.

The spelling of 3952791040 in words is "three billion, nine hundred fifty-two million, seven hundred ninety-one thousand, forty".