368737920 has 192 divisors, whose sum is σ = 1321014240. Its totient is φ = 98288640.

The previous prime is 368737891. The next prime is 368737927. The reversal of 368737920 is 29737863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (368737927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154335 + ... + 156705.

Almost surely, 2^368737920 is an apocalyptic number.

368737920 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 368737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660507120).

368737920 is an abundant number, since it is smaller than the sum of its proper divisors (952276320).

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

368737920 is an equidigital number, since it uses as much as digits as its factorization.

368737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2381 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 368737920 is about 19202.5498306865. The cubic root of 368737920 is about 717.0882403960.

The spelling of 368737920 in words is "three hundred sixty-eight million, seven hundred thirty-seven thousand, nine hundred twenty".