361352040 has 128 divisors (see below), whose sum is σ = 1244194560. Its totient is φ = 82243584.

The previous prime is 361352021. The next prime is 361352053. The reversal of 361352040 is 40253163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 361352040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231904 + ... + 233456.

It is an arithmetic number, because the mean of its divisors is an integer number (9720270).

Almost surely, 2^361352040 is an apocalyptic number.

361352040 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 361352040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622097280).

361352040 is an abundant number, since it is smaller than the sum of its proper divisors (882842520).

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

361352040 is a wasteful number, since it uses less digits than its factorization.

361352040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 361352040 is about 19009.2619530586. The cubic root of 361352040 is about 712.2681153688.

The spelling of 361352040 in words is "three hundred sixty-one million, three hundred fifty-two thousand, forty".