3954498895872 has 768 divisors, whose sum is σ = 13711540976640. Its totient is φ = 1074423398400.

The previous prime is 3954498895861. The next prime is 3954498895889. The reversal of 3954498895872 is 2785988944593.

3954498895872 is a `hidden beast` number, since 3 + 9 + 5 + 4 + 498 + 8 + 9 + 58 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 3954498895791 and 3954498895800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3903749638 + ... + 3903750650.

It is an arithmetic number, because the mean of its divisors is an integer number (17853568980).

Almost surely, 2^{3954498895872} is an apocalyptic number.

3954498895872 is a gapful number since it is divisible by the number (32) 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 3954498895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855770488320).

3954498895872 is an abundant number, since it is smaller than the sum of its proper divisors (9757042080768).

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

3954498895872 is a wasteful number, since it uses less digits than its factorization.

3954498895872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1117 counting only the distinct ones).

The product of its digits is 6270566400, while the sum is 81.

The spelling of 3954498895872 in words is "three trillion, nine hundred fifty-four billion, four hundred ninety-eight million, eight hundred ninety-five thousand, eight hundred seventy-two".