361073640 has 128 divisors (see below), whose sum is σ = 1113678720. Its totient is φ = 93619200.

The previous prime is 361073627. The next prime is 361073641. The reversal of 361073640 is 46370163.

It is a super-3 number, since 3×361073640³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 361073598 and 361073607.

It is not an unprimeable number, because it can be changed into a prime (361073641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783010 + ... + 783470.

It is an arithmetic number, because the mean of its divisors is an integer number (8700615).

Almost surely, 2^361073640 is an apocalyptic number.

361073640 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 361073640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556839360).

361073640 is an abundant number, since it is smaller than the sum of its proper divisors (752605080).

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

361073640 is a wasteful number, since it uses less digits than its factorization.

361073640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 361073640 is about 19001.9377959197. The cubic root of 361073640 is about 712.0851484666.

The spelling of 361073640 in words is "three hundred sixty-one million, seventy-three thousand, six hundred forty".