380029973400 has 768 divisors, whose sum is σ = 1684692172800. Its totient is φ = 76417344000.

The previous prime is 380029973363. The next prime is 380029973443. The reversal of 380029973400 is 4379920083.

It is a happy number.

380029973400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 12875059 + ... + 12904541.

It is an arithmetic number, because the mean of its divisors is an integer number (2193609600).

Almost surely, 2^380029973400 is an apocalyptic number.

380029973400 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 380029973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842346086400).

380029973400 is an abundant number, since it is smaller than the sum of its proper divisors (1304662199400).

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

380029973400 is a wasteful number, since it uses less digits than its factorization.

380029973400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29557 (or 29542 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 380029973400 in words is "three hundred eighty billion, twenty-nine million, nine hundred seventy-three thousand, four hundred".