3679431840 has 576 divisors, whose sum is σ = 15256200960. Its totient is φ = 789626880.

The previous prime is 3679431829. The next prime is 3679431851. The reversal of 3679431840 is 481349763.

It is an interprime number because it is at equal distance from previous prime (3679431829) and next prime (3679431851).

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 95 ways as a sum of consecutive naturals, for example, 11984967 + ... + 11985273.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^3679431840 is an apocalyptic number.

3679431840 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 3679431840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628100480).

3679431840 is an abundant number, since it is smaller than the sum of its proper divisors (11576769120).

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

3679431840 is a wasteful number, since it uses less digits than its factorization.

3679431840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3679431840 is about 60658.3204515259. The cubic root of 3679431840 is about 1543.8090674619.

The spelling of 3679431840 in words is "three billion, six hundred seventy-nine million, four hundred thirty-one thousand, eight hundred forty".