3893152334400 has 672 divisors, whose sum is σ = 16924630087680. Its totient is φ = 851172157440.

The previous prime is 3893152334389. The next prime is 3893152334429. The reversal of 3893152334400 is 44332513983.

3893152334400 is a `hidden beast` number, since 3 + 8 + 9 + 3 + 1 + 5 + 233 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6675327 + ... + 7235073.

It is an arithmetic number, because the mean of its divisors is an integer number (25185461440).

Almost surely, 2^{3893152334400} is an apocalyptic number.

3893152334400 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 3893152334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462315043840).

3893152334400 is an abundant number, since it is smaller than the sum of its proper divisors (13031477753280).

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

3893152334400 is a wasteful number, since it uses less digits than its factorization.

3893152334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559808 (or 559787 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3893152334400 in words is "three trillion, eight hundred ninety-three billion, one hundred fifty-two million, three hundred thirty-four thousand, four hundred".