379751400 has 144 divisors (see below), whose sum is σ = 1457570400. Its totient is φ = 86797440.

The previous prime is 379751327. The next prime is 379751431. The reversal of 379751400 is 4157973.

It is a happy number.

It is a super-2 number, since 2×379751400² = 288422251603920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2470 + ... + 27669.

Almost surely, 2^379751400 is an apocalyptic number.

379751400 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 379751400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728785200).

379751400 is an abundant number, since it is smaller than the sum of its proper divisors (1077819000).

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

379751400 is a wasteful number, since it uses less digits than its factorization.

379751400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30168 (or 30156 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 379751400 is about 19487.2111909324. The cubic root of 379751400 is about 724.1576582475.

The spelling of 379751400 in words is "three hundred seventy-nine million, seven hundred fifty-one thousand, four hundred".