361651752 has 144 divisors (see below), whose sum is σ = 1243101600. Its totient is φ = 93925440.

The previous prime is 361651739. The next prime is 361651799. The reversal of 361651752 is 257156163.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34149 + ... + 43467.

It is an arithmetic number, because the mean of its divisors is an integer number (8632650).

Almost surely, 2^361651752 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 361651752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621550800).

361651752 is an abundant number, since it is smaller than the sum of its proper divisors (881449848).

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

361651752 is a wasteful number, since it uses less digits than its factorization.

361651752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9356 (or 9342 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 361651752 is about 19017.1436341003. The cubic root of 361651752 is about 712.4649836900.

The spelling of 361651752 in words is "three hundred sixty-one million, six hundred fifty-one thousand, seven hundred fifty-two".