3952406880000 has 1440 divisors, whose sum is σ = 15082957908480. Its totient is φ = 1020211200000.

The previous prime is 3952406879957. The next prime is 3952406880011. The reversal of 3952406880000 is 886042593.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26174879925 + ... + 26174880075.

Almost surely, 2^{3952406880000} is an apocalyptic number.

3952406880000 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 3952406880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7541478954240).

3952406880000 is an abundant number, since it is smaller than the sum of its proper divisors (11130551028480).

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

3952406880000 is an equidigital number, since it uses as much as digits as its factorization.

3952406880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 3952406880000 in words is "three trillion, nine hundred fifty-two billion, four hundred six million, eight hundred eighty thousand".