380294279400 has 384 divisors, whose sum is σ = 1400196096000. Its totient is φ = 83551564800.

The previous prime is 380294279383. The next prime is 380294279459. The reversal of 380294279400 is 4972492083.

It is a self number, because there is not a number n which added to its sum of digits gives 380294279400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19389999 + ... + 19409601.

It is an arithmetic number, because the mean of its divisors is an integer number (3646344000).

Almost surely, 2^380294279400 is an apocalyptic number.

380294279400 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 380294279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700098048000).

380294279400 is an abundant number, since it is smaller than the sum of its proper divisors (1019901816600).

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

380294279400 is a wasteful number, since it uses less digits than its factorization.

380294279400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19809 (or 19800 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 380294279400 in words is "three hundred eighty billion, two hundred ninety-four million, two hundred seventy-nine thousand, four hundred".