3791854080 has 640 divisors, whose sum is σ = 16333954560. Its totient is φ = 813957120.

The previous prime is 3791854061. The next prime is 3791854117. The reversal of 3791854080 is 804581973.

It is a tau number, because it is divible by the number of its divisors (640).

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, 8225050 + ... + 8225510.

It is an arithmetic number, because the mean of its divisors is an integer number (25521804).

Almost surely, 2^3791854080 is an apocalyptic number.

3791854080 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 3791854080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8166977280).

3791854080 is an abundant number, since it is smaller than the sum of its proper divisors (12542100480).

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

3791854080 is a wasteful number, since it uses less digits than its factorization.

3791854080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3791854080 is about 61578.0324466445. The cubic root of 3791854080 is about 1559.3748974797.

The spelling of 3791854080 in words is "three billion, seven hundred ninety-one million, eight hundred fifty-four thousand, eighty".