361747680 has 384 divisors, whose sum is σ = 1412038656. Its totient is φ = 76032000.

The previous prime is 361747667. The next prime is 361747681. The reversal of 361747680 is 86747163.

It is a super-2 number, since 2×361747680² = 261722767970764800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361747681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2395605 + ... + 2395755.

It is an arithmetic number, because the mean of its divisors is an integer number (3677184).

Almost surely, 2^361747680 is an apocalyptic number.

361747680 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 361747680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706019328).

361747680 is an abundant number, since it is smaller than the sum of its proper divisors (1050290976).

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

361747680 is a wasteful number, since it uses less digits than its factorization.

361747680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 361747680 is about 19019.6656122025. The cubic root of 361747680 is about 712.5279718166.

The spelling of 361747680 in words is "three hundred sixty-one million, seven hundred forty-seven thousand, six hundred eighty".