3951790080 has 768 divisors, whose sum is σ = 16303472640. Its totient is φ = 795869184.

The previous prime is 3951790079. The next prime is 3951790091. The reversal of 3951790080 is 800971593.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 84080617 + ... + 84080663.

It is an arithmetic number, because the mean of its divisors is an integer number (21228480).

Almost surely, 2^3951790080 is an apocalyptic number.

3951790080 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 3951790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151736320).

3951790080 is an abundant number, since it is smaller than the sum of its proper divisors (12351682560).

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

3951790080 is a wasteful number, since it uses less digits than its factorization.

3951790080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 3951790080 is about 62863.2649486169. The cubic root of 3951790080 is about 1580.9978848257.

The spelling of 3951790080 in words is "three billion, nine hundred fifty-one million, seven hundred ninety thousand, eighty".