361934749800 has 576 divisors, whose sum is σ = 1389871042560. Its totient is φ = 83616768000.

The previous prime is 361934749789. The next prime is 361934749801. The reversal of 361934749800 is 8947439163.

It is a happy number.

361934749800 is a `hidden beast` number, since 3 + 6 + 1 + 93 + 474 + 9 + 80 + 0 = 666.

It is a super-2 number, since 2×361934749800² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (361934749801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171450745 + ... + 171452855.

It is an arithmetic number, because the mean of its divisors is an integer number (2412970560).

Almost surely, 2^361934749800 is an apocalyptic number.

361934749800 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 361934749800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694935521280).

361934749800 is an abundant number, since it is smaller than the sum of its proper divisors (1027936292760).

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

361934749800 is a wasteful number, since it uses less digits than its factorization.

361934749800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 361934749800 in words is "three hundred sixty-one billion, nine hundred thirty-four million, seven hundred forty-nine thousand, eight hundred".