379633800 has 384 divisors, whose sum is σ = 1537401600. Its totient is φ = 75202560.

The previous prime is 379633777. The next prime is 379633829. The reversal of 379633800 is 8336973.

379633800 = 1385² + 1386² + ... + 1559².

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 927996 + ... + 928404.

It is an arithmetic number, because the mean of its divisors is an integer number (4003650).

Almost surely, 2^379633800 is an apocalyptic number.

379633800 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 379633800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768700800).

379633800 is an abundant number, since it is smaller than the sum of its proper divisors (1157767800).

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

379633800 is a wasteful number, since it uses less digits than its factorization.

379633800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 379633800 is about 19484.1935937826. The cubic root of 379633800 is about 724.0828990472.

The spelling of 379633800 in words is "three hundred seventy-nine million, six hundred thirty-three thousand, eight hundred".