3914791349280 has 384 divisors, whose sum is σ = 14256686610432. Its totient is φ = 884469915648.

The previous prime is 3914791349251. The next prime is 3914791349299. The reversal of 3914791349280 is 829431974193.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 164288727 + ... + 164312553.

It is an arithmetic number, because the mean of its divisors is an integer number (37126788048).

Almost surely, 2^{3914791349280} is an apocalyptic number.

3914791349280 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 3914791349280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7128343305216).

3914791349280 is an abundant number, since it is smaller than the sum of its proper divisors (10341895261152).

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

3914791349280 is a wasteful number, since it uses less digits than its factorization.

3914791349280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24416 (or 24408 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 3914791349280 in words is "three trillion, nine hundred fourteen billion, seven hundred ninety-one million, three hundred forty-nine thousand, two hundred eighty".