367642440 has 192 divisors, whose sum is σ = 1312122240. Its totient is φ = 88535040.

The previous prime is 367642427. The next prime is 367642447. The reversal of 367642440 is 44246763.

367642440 is a `hidden beast` number, since 3 + 6 + 7 + 642 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 367642395 and 367642404.

It is not an unprimeable number, because it can be changed into a prime (367642447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041304 + ... + 1041656.

It is an arithmetic number, because the mean of its divisors is an integer number (6833970).

Almost surely, 2^367642440 is an apocalyptic number.

367642440 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 367642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656061120).

367642440 is an abundant number, since it is smaller than the sum of its proper divisors (944479800).

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

367642440 is a wasteful number, since it uses less digits than its factorization.

367642440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 367642440 is about 19174.0042766241. The cubic root of 367642440 is about 716.3774057689.

It can be divided in two parts, 36764 and 2440, that added together give a square (39204 = 198²).

The spelling of 367642440 in words is "three hundred sixty-seven million, six hundred forty-two thousand, four hundred forty".