379808236800 has 1296 divisors, whose sum is σ = 1518302822400. Its totient is φ = 90143539200.

The previous prime is 379808236789. The next prime is 379808236811. The reversal of 379808236800 is 8632808973.

It is an interprime number because it is at equal distance from previous prime (379808236789) and next prime (379808236811).

It is a super-2 number, since 2×379808236800² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1988524705 + ... + 1988524895.

Almost surely, 2^379808236800 is an apocalyptic number.

379808236800 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 379808236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759151411200).

379808236800 is an abundant number, since it is smaller than the sum of its proper divisors (1138494585600).

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

379808236800 is a wasteful number, since it uses less digits than its factorization.

379808236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 379808236800 in words is "three hundred seventy-nine billion, eight hundred eight million, two hundred thirty-six thousand, eight hundred".