3662979840 has 576 divisors, whose sum is σ = 14504878080. Its totient is φ = 869253120.

The previous prime is 3662979787. The next prime is 3662979857. The reversal of 3662979840 is 489792663.

It is a happy number.

3662979840 is a `hidden beast` number, since 3 + 6 + 629 + 7 + 9 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13927549 + ... + 13927811.

It is an arithmetic number, because the mean of its divisors is an integer number (25182080).

Almost surely, 2^3662979840 is an apocalyptic number.

3662979840 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 3662979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7252439040).

3662979840 is an abundant number, since it is smaller than the sum of its proper divisors (10841898240).

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

3662979840 is a wasteful number, since it uses less digits than its factorization.

3662979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3662979840 is about 60522.5564562503. The cubic root of 3662979840 is about 1541.5046630773.

The spelling of 3662979840 in words is "three billion, six hundred sixty-two million, nine hundred seventy-nine thousand, eight hundred forty".