3807138558400 has 168 divisors, whose sum is σ = 9936274930560. Its totient is φ = 1431690624000.

The previous prime is 3807138558373. The next prime is 3807138558449. The reversal of 3807138558400 is 48558317083.

It is a happy number.

It is a super-3 number, since 3×3807138558400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3504405 + ... + 4460395.

Almost surely, 2^{3807138558400} 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 3807138558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968137465280).

3807138558400 is an abundant number, since it is smaller than the sum of its proper divisors (6129136372160).

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

3807138558400 is a wasteful number, since it uses less digits than its factorization.

3807138558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956163 (or 956148 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 52.

The spelling of 3807138558400 in words is "three trillion, eight hundred seven billion, one hundred thirty-eight million, five hundred fifty-eight thousand, four hundred".