3872462880000 has 720 divisors, whose sum is σ = 15130695577536. Its totient is φ = 866549760000.

The previous prime is 3872462879963. The next prime is 3872462880007. The reversal of 3872462880000 is 882642783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872462880007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 68611792 + ... + 68668208.

Almost surely, 2^{3872462880000} is an apocalyptic number.

3872462880000 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 3872462880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7565347788768).

3872462880000 is an abundant number, since it is smaller than the sum of its proper divisors (11258232697536).

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

3872462880000 is a wasteful number, since it uses less digits than its factorization.

3872462880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56480 (or 56451 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 3872462880000 in words is "three trillion, eight hundred seventy-two billion, four hundred sixty-two million, eight hundred eighty thousand".