3954981887520 has 192 divisors, whose sum is σ = 13072484920320. Its totient is φ = 1003170679808.

The previous prime is 3954981887491. The next prime is 3954981887539. The reversal of 3954981887520 is 257881894593.

It is a super-2 number, since 2×3954981887520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975487 + ... + 2976833.

It is an arithmetic number, because the mean of its divisors is an integer number (68085858960).

Almost surely, 2^{3954981887520} is an apocalyptic number.

3954981887520 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 3954981887520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536242460160).

3954981887520 is an abundant number, since it is smaller than the sum of its proper divisors (9117503032800).

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

3954981887520 is a wasteful number, since it uses less digits than its factorization.

3954981887520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001567 (or 2001559 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 69.

The spelling of 3954981887520 in words is "three trillion, nine hundred fifty-four billion, nine hundred eighty-one million, eight hundred eighty-seven thousand, five hundred twenty".