369663840 has 648 divisors, whose sum is σ = 1640253888. Its totient is φ = 75479040.

The previous prime is 369663839. The next prime is 369663869. The reversal of 369663840 is 48366963.

369663840 is a `hidden beast` number, since 3 + 6 + 9 + 6 + 638 + 4 + 0 = 666.

It is a super-3 number, since 3×369663840³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11924625 + ... + 11924655.

It is an arithmetic number, because the mean of its divisors is an integer number (2531256).

Almost surely, 2^369663840 is an apocalyptic number.

369663840 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 369663840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820126944).

369663840 is an abundant number, since it is smaller than the sum of its proper divisors (1270590048).

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

369663840 is a wasteful number, since it uses less digits than its factorization.

369663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 369663840 is about 19226.6440129316. The cubic root of 369663840 is about 717.6879539326.

The spelling of 369663840 in words is "three hundred sixty-nine million, six hundred sixty-three thousand, eight hundred forty".