3930619680 has 576 divisors, whose sum is σ = 15619443840. Its totient is φ = 891813888.

The previous prime is 3930619639. The next prime is 3930619697. The reversal of 3930619680 is 869160393.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15294112 + ... + 15294368.

It is an arithmetic number, because the mean of its divisors is an integer number (27117090).

Almost surely, 2^3930619680 is an apocalyptic number.

3930619680 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 3930619680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809721920).

3930619680 is an abundant number, since it is smaller than the sum of its proper divisors (11688824160).

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

3930619680 is a wasteful number, since it uses less digits than its factorization.

3930619680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3930619680 is about 62694.6543175732. The cubic root of 3930619680 is about 1578.1696049635.

The spelling of 3930619680 in words is "three billion, nine hundred thirty million, six hundred nineteen thousand, six hundred eighty".