368747040 has 192 divisors, whose sum is σ = 1226244096. Its totient is φ = 92961792.

The previous prime is 368747011. The next prime is 368747089. The reversal of 368747040 is 40747863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 368747040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401949 + ... + 1402211.

It is an arithmetic number, because the mean of its divisors is an integer number (6386688).

Almost surely, 2^368747040 is an apocalyptic number.

368747040 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 368747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613122048).

368747040 is an abundant number, since it is smaller than the sum of its proper divisors (857497056).

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

368747040 is a wasteful number, since it uses less digits than its factorization.

368747040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 368747040 is about 19202.7872976816. The cubic root of 368747040 is about 717.0941522650.

The spelling of 368747040 in words is "three hundred sixty-eight million, seven hundred forty-seven thousand, forty".