379749504 has 256 divisors, whose sum is σ = 1159372800. Its totient is φ = 109486080.

The previous prime is 379749497. The next prime is 379749509. The reversal of 379749504 is 405947973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379749509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5202012 + ... + 5202084.

It is an arithmetic number, because the mean of its divisors is an integer number (4528800).

Almost surely, 2^379749504 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 379749504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579686400).

379749504 is an abundant number, since it is smaller than the sum of its proper divisors (779623296).

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

379749504 is a wasteful number, since it uses less digits than its factorization.

379749504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 379749504 is about 19487.1625435824. The cubic root of 379749504 is about 724.1564530685.

It can be divided in two parts, 3797 and 49504, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 379749504 in words is "three hundred seventy-nine million, seven hundred forty-nine thousand, five hundred four".