361077440 has 56 divisors (see below), whose sum is σ = 862187760. Its totient is φ = 144032768.

The previous prime is 361077439. The next prime is 361077461. The reversal of 361077440 is 44770163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 361077397 and 361077406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132734 + ... + 135426.

It is an arithmetic number, because the mean of its divisors is an integer number (15396210).

Almost surely, 2^361077440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431093880).

361077440 is an abundant number, since it is smaller than the sum of its proper divisors (501110320).

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

361077440 is a wasteful number, since it uses less digits than its factorization.

361077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3129 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 361077440 is about 19002.0377854587. The cubic root of 361077440 is about 712.0876464927.

It can be divided in two parts, 3610 and 77440, that multiplied together give a square (279558400 = 16720²).

The spelling of 361077440 in words is "three hundred sixty-one million, seventy-seven thousand, four hundred forty".