361077408 has 36 divisors (see below), whose sum is σ = 1026814698. Its totient is φ = 120359040.

The previous prime is 361077403. The next prime is 361077427. The reversal of 361077408 is 804770163.

361077408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 359936784 + 1140624 = 18972^2 + 1068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (361077403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 626583 + ... + 627158.

Almost surely, 2^361077408 is an apocalyptic number.

It is an amenable number.

361077408 is an abundant number, since it is smaller than the sum of its proper divisors (665737290).

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

361077408 is a wasteful number, since it uses less digits than its factorization.

361077408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253757 (or 1253746 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 361077408 is about 19002.0369434437. The cubic root of 361077408 is about 712.0876254568.

It can be divided in two parts, 3610 and 77408, that added together give a palindrome (81018).

The spelling of 361077408 in words is "three hundred sixty-one million, seventy-seven thousand, four hundred eight".