361956000 has 384 divisors, whose sum is σ = 1408942080. Its totient is φ = 79488000.

The previous prime is 361955981. The next prime is 361956041. The reversal of 361956000 is 659163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2603931 + ... + 2604069.

It is an arithmetic number, because the mean of its divisors is an integer number (3669120).

Almost surely, 2^361956000 is an apocalyptic number.

361956000 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 361956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

361956000 is an abundant number, since it is smaller than the sum of its proper divisors (1046986080).

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

361956000 is a wasteful number, since it uses less digits than its factorization.

361956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 361956000 is about 19025.1412609736. The cubic root of 361956000 is about 712.6647203032.

It can be divided in two parts, 36195 and 6000, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 361956000 in words is "three hundred sixty-one million, nine hundred fifty-six thousand".