3954901680 has 320 divisors, whose sum is σ = 14838336000. Its totient is φ = 964389888.

The previous prime is 3954901669. The next prime is 3954901703. The reversal of 3954901680 is 861094593.

It is a happy number.

3954901680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1188499 + ... + 1191821.

It is an arithmetic number, because the mean of its divisors is an integer number (46369800).

Almost surely, 2^3954901680 is an apocalyptic number.

3954901680 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 3954901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419168000).

3954901680 is an abundant number, since it is smaller than the sum of its proper divisors (10883434320).

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

3954901680 is a wasteful number, since it uses less digits than its factorization.

3954901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3381 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3954901680 is about 62888.0090319291. The cubic root of 3954901680 is about 1581.4127299392.

The spelling of 3954901680 in words is "three billion, nine hundred fifty-four million, nine hundred one thousand, six hundred eighty".