361687872 has 224 divisors, whose sum is σ = 1194360832. Its totient is φ = 94058496.

The previous prime is 361687861. The next prime is 361687883. The reversal of 361687872 is 278786163.

It is an interprime number because it is at equal distance from previous prime (361687861) and next prime (361687883).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 2218863 + ... + 2219025.

It is an arithmetic number, because the mean of its divisors is an integer number (5331968).

Almost surely, 2^361687872 is an apocalyptic number.

361687872 is a gapful number since it is divisible by the number (32) 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 361687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597180416).

361687872 is an abundant number, since it is smaller than the sum of its proper divisors (832672960).

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

361687872 is a wasteful number, since it uses less digits than its factorization.

361687872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 315 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 361687872 is about 19018.0932798217. The cubic root of 361687872 is about 712.4887020677.

The spelling of 361687872 in words is "three hundred sixty-one million, six hundred eighty-seven thousand, eight hundred seventy-two".