380004080400 has 1680 divisors, whose sum is σ = 1698881693184. Its totient is φ = 79666053120.

The previous prime is 380004080389. The next prime is 380004080413. The reversal of 380004080400 is 4080400083.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×380004080400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1630918684 + ... + 1630918916.

Almost surely, 2^380004080400 is an apocalyptic number.

380004080400 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 380004080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849440846592).

380004080400 is an abundant number, since it is smaller than the sum of its proper divisors (1318877612784).

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

380004080400 is a wasteful number, since it uses less digits than its factorization.

380004080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 380004080400 its reverse (4080400083), we get a palindrome (384084480483).

The spelling of 380004080400 in words is "three hundred eighty billion, four million, eighty thousand, four hundred".