368924640 has 192 divisors, whose sum is σ = 1351365120. Its totient is φ = 82851840.

The previous prime is 368924639. The next prime is 368924651. The reversal of 368924640 is 46429863.

It is a happy number.

It is a super-2 number, since 2×368924640² = 272210779998259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 368924592 and 368924601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197310 + ... + 199170.

It is an arithmetic number, because the mean of its divisors is an integer number (7038360).

Almost surely, 2^368924640 is an apocalyptic number.

368924640 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 368924640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

368924640 is an abundant number, since it is smaller than the sum of its proper divisors (982440480).

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

368924640 is a wasteful number, since it uses less digits than its factorization.

368924640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 368924640 is about 19207.4110696887. The cubic root of 368924640 is about 717.2092587083.

The spelling of 368924640 in words is "three hundred sixty-eight million, nine hundred twenty-four thousand, six hundred forty".