3951825926400 has 1215 divisors, whose sum is σ = 16125037509889. Its totient is φ = 954201600000.

The previous prime is 3951825926357. The next prime is 3951825926401. The reversal of 3951825926400 is 46295281593.

The square root of 3951825926400 is 1987920.

It is a perfect power (a square), and thus also a powerful number.

3951825926400 is a `hidden beast` number, since 3 + 9 + 5 + 1 + 8 + 2 + 592 + 6 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1422657333504 + 2529168592896 = 1192752^2 + 1590336^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3951825926401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15744326275 + ... + 15744326525.

Almost surely, 2^{3951825926400} is an apocalyptic number.

3951825926400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3951825926400 is the 1987920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3951825926400

3951825926400 is an abundant number, since it is smaller than the sum of its proper divisors (12173211583489).

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

3951825926400 is an equidigital number, since it uses as much as digits as its factorization.

3951825926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3951825926400 in words is "three trillion, nine hundred fifty-one billion, eight hundred twenty-five million, nine hundred twenty-six thousand, four hundred".