3949933680 has 960 divisors, whose sum is σ = 18238832640. Its totient is φ = 766402560.

The previous prime is 3949933649. The next prime is 3949933733. The reversal of 3949933680 is 863399493.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31101777 + ... + 31101903.

It is an arithmetic number, because the mean of its divisors is an integer number (18998784).

Almost surely, 2^3949933680 is an apocalyptic number.

3949933680 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 3949933680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119416320).

3949933680 is an abundant number, since it is smaller than the sum of its proper divisors (14288898960).

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

3949933680 is a wasteful number, since it uses less digits than its factorization.

3949933680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The square root of 3949933680 is about 62848.4978340771. The cubic root of 3949933680 is about 1580.7502819157.

The spelling of 3949933680 in words is "three billion, nine hundred forty-nine million, nine hundred thirty-three thousand, six hundred eighty".