3892749062400 has 3240 divisors, whose sum is σ = 17386647683328. Its totient is φ = 851005440000.

The previous prime is 3892749062399. The next prime is 3892749062417. The reversal of 3892749062400 is 42609472983.

3892749062400 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 7 + 4 + 9 + 0 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63815558370 + ... + 63815558430.

Almost surely, 2^{3892749062400} is an apocalyptic number.

3892749062400 is a gapful number since it is divisible by the number (30) 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 3892749062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8693323841664).

3892749062400 is an abundant number, since it is smaller than the sum of its proper divisors (13493898620928).

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

3892749062400 is a wasteful number, since it uses less digits than its factorization.

3892749062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3892749062400 in words is "three trillion, eight hundred ninety-two billion, seven hundred forty-nine million, sixty-two thousand, four hundred".