361250344 has 192 divisors, whose sum is σ = 922320000. Its totient is φ = 132088320.

The previous prime is 361250321. The next prime is 361250369. The reversal of 361250344 is 443052163.

It is a super-2 number, since 2×361250344² = 261003622080236672, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8810964 + ... + 8811004.

It is an arithmetic number, because the mean of its divisors is an integer number (4803750).

Almost surely, 2^361250344 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 361250344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461160000).

361250344 is an abundant number, since it is smaller than the sum of its proper divisors (561069656).

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

361250344 is a wasteful number, since it uses less digits than its factorization.

361250344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 361250344 is about 19006.5868582447. The cubic root of 361250344 is about 712.2012907707.

It can be divided in two parts, 3612 and 50344, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 361250344 in words is "three hundred sixty-one million, two hundred fifty thousand, three hundred forty-four".