361199640 has 128 divisors (see below), whose sum is σ = 1128038400. Its totient is φ = 92413440.

The previous prime is 361199623. The next prime is 361199723. The reversal of 361199640 is 46991163.

It is a super-2 number, since 2×361199640² = 260930359872259200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 942889 + ... + 943271.

It is an arithmetic number, because the mean of its divisors is an integer number (8812800).

Almost surely, 2^361199640 is an apocalyptic number.

361199640 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 361199640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564019200).

361199640 is an abundant number, since it is smaller than the sum of its proper divisors (766838760).

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

361199640 is a wasteful number, since it uses less digits than its factorization.

361199640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 361199640 is about 19005.2529580640. The cubic root of 361199640 is about 712.1679684090.

The spelling of 361199640 in words is "three hundred sixty-one million, one hundred ninety-nine thousand, six hundred forty".