3791460960 has 288 divisors, whose sum is σ = 15335453952. Its totient is φ = 866557440.

The previous prime is 3791460919. The next prime is 3791460961. The reversal of 3791460960 is 690641973.

3791460960 is a `hidden beast` number, since 37 + 9 + 1 + 4 + 609 + 6 + 0 = 666.

3791460960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3791460960² = 28750352422408243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791460961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265195 + ... + 279125.

It is an arithmetic number, because the mean of its divisors is an integer number (53248104).

Almost surely, 2^3791460960 is an apocalyptic number.

3791460960 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 3791460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667726976).

3791460960 is an abundant number, since it is smaller than the sum of its proper divisors (11543992992).

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

3791460960 is a wasteful number, since it uses less digits than its factorization.

3791460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13968 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3791460960 is about 61574.8403164799. The cubic root of 3791460960 is about 1559.3210062844.

The spelling of 3791460960 in words is "three billion, seven hundred ninety-one million, four hundred sixty thousand, nine hundred sixty".