380400768672 has 384 divisors, whose sum is σ = 1128527769600. Its totient is φ = 111692722176.

The previous prime is 380400768611. The next prime is 380400768679. The reversal of 380400768672 is 276867004083.

It is not an unprimeable number, because it can be changed into a prime (380400768679) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136391854 + ... + 136394642.

It is an arithmetic number, because the mean of its divisors is an integer number (2938874400).

Almost surely, 2^380400768672 is an apocalyptic number.

380400768672 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 380400768672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564263884800).

380400768672 is an abundant number, since it is smaller than the sum of its proper divisors (748127000928).

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

380400768672 is a wasteful number, since it uses less digits than its factorization.

380400768672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 380400768672 in words is "three hundred eighty billion, four hundred million, seven hundred sixty-eight thousand, six hundred seventy-two".