3791465496 has 320 divisors, whose sum is σ = 13209134400. Its totient is φ = 989356032.

The previous prime is 3791465471. The next prime is 3791465497. The reversal of 3791465496 is 6945641973.

3791465496 is a `hidden beast` number, since 3 + 7 + 9 + 146 + 5 + 496 = 666.

3791465496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (4898880) is a multiple of the sum of its prime factors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791465497) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6663100 + ... + 6663668.

It is an arithmetic number, because the mean of its divisors is an integer number (41278545).

Almost surely, 2^3791465496 is an apocalyptic number.

3791465496 is a gapful number since it is divisible by the number (36) 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 3791465496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604567200).

3791465496 is an abundant number, since it is smaller than the sum of its proper divisors (9417668904).

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

3791465496 is a wasteful number, since it uses less digits than its factorization.

3791465496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3791465496 is about 61574.8771496947. The cubic root of 3791465496 is about 1559.3216281271.

The spelling of 3791465496 in words is "three billion, seven hundred ninety-one million, four hundred sixty-five thousand, four hundred ninety-six".