3791614464 has 480 divisors, whose sum is σ = 13073448960. Its totient is φ = 1045094400.

The previous prime is 3791614451. The next prime is 3791614501. The reversal of 3791614464 is 4644161973.

3791614464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3791614464² = 28752680487228014592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29855169 + ... + 29855295.

It is an arithmetic number, because the mean of its divisors is an integer number (27236352).

Almost surely, 2^3791614464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3791614464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536724480).

3791614464 is an abundant number, since it is smaller than the sum of its proper divisors (9281834496).

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

3791614464 is a wasteful number, since it uses less digits than its factorization.

3791614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

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

The square root of 3791614464 is about 61576.0867869987. The cubic root of 3791614464 is about 1559.3420499563.

The spelling of 3791614464 in words is "three billion, seven hundred ninety-one million, six hundred fourteen thousand, four hundred sixty-four".