3895464960000 has 1680 divisors, whose sum is σ = 15201834455808. Its totient is φ = 995328000000.

The previous prime is 3895464959983. The next prime is 3895464960019. The reversal of 3895464960000 is 694645983.

3895464960000 is a `hidden beast` number, since 3 + 8 + 9 + 546 + 4 + 96 + 0 + 0 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 38568959950 + ... + 38568960050.

Almost surely, 2^{3895464960000} is an apocalyptic number.

3895464960000 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 3895464960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600917227904).

3895464960000 is an abundant number, since it is smaller than the sum of its proper divisors (11306369495808).

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

3895464960000 is an frugal number, since it uses more digits than its factorization.

3895464960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3895464960000 in words is "three trillion, eight hundred ninety-five billion, four hundred sixty-four million, nine hundred sixty thousand".