3679088040 has 224 divisors, whose sum is σ = 12483153000. Its totient is φ = 975421440.

The previous prime is 3679088033. The next prime is 3679088057. The reversal of 3679088040 is 408809763.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3319833924 + 359254116 = 57618^2 + 18954^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8193736 + ... + 8194184.

Almost surely, 2^3679088040 is an apocalyptic number.

3679088040 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 3679088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241576500).

3679088040 is an abundant number, since it is smaller than the sum of its proper divisors (8804064960).

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

3679088040 is a wasteful number, since it uses less digits than its factorization.

3679088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3679088040 is about 60655.4864789658. The cubic root of 3679088040 is about 1543.7609823124.

The spelling of 3679088040 in words is "three billion, six hundred seventy-nine million, eighty-eight thousand, forty".