379749491352 has 512 divisors, whose sum is σ = 1377961574400. Its totient is φ = 94021171200.

The previous prime is 379749491309. The next prime is 379749491417. The reversal of 379749491352 is 253194947973.

379749491352 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 494 + 9 + 135 + 2 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

It is a self number, because there is not a number n which added to its sum of digits gives 379749491352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34539168 + ... + 34550160.

It is an arithmetic number, because the mean of its divisors is an integer number (2691331200).

Almost surely, 2^379749491352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379749491352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688980787200).

379749491352 is an abundant number, since it is smaller than the sum of its proper divisors (998212083048).

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

379749491352 is a wasteful number, since it uses less digits than its factorization.

379749491352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11124 (or 11114 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 379749491352 in words is "three hundred seventy-nine billion, seven hundred forty-nine million, four hundred ninety-one thousand, three hundred fifty-two".