379246012416 has 480 divisors, whose sum is σ = 1210117708800. Its totient is φ = 118072442880.

The previous prime is 379246012309. The next prime is 379246012421. The reversal of 379246012416 is 614210642973.

379246012416 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 4 + 601 + 24 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149132041 + ... + 149134583.

It is an arithmetic number, because the mean of its divisors is an integer number (2521078560).

Almost surely, 2^379246012416 is an apocalyptic number.

379246012416 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 379246012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605058854400).

379246012416 is an abundant number, since it is smaller than the sum of its proper divisors (830871696384).

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

379246012416 is a wasteful number, since it uses less digits than its factorization.

379246012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2608 counting only the distinct ones).

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

The spelling of 379246012416 in words is "three hundred seventy-nine billion, two hundred forty-six million, twelve thousand, four hundred sixteen".