3724479864 has 192 divisors, whose sum is σ = 12231648000. Its totient is φ = 1000097280.

The previous prime is 3724479859. The next prime is 3724479877. The reversal of 3724479864 is 4689744273.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3724479864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1252972 + ... + 1255940.

It is an arithmetic number, because the mean of its divisors is an integer number (63706500).

Almost surely, 2^3724479864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3724479864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115824000).

3724479864 is an abundant number, since it is smaller than the sum of its proper divisors (8507168136).

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

3724479864 is a wasteful number, since it uses less digits than its factorization.

3724479864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3131 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 3724479864 is about 61028.5168097669. The cubic root of 3724479864 is about 1550.0839169273.

The spelling of 3724479864 in words is "three billion, seven hundred twenty-four million, four hundred seventy-nine thousand, eight hundred sixty-four".