379634040 has 224 divisors, whose sum is σ = 1312649280. Its totient is φ = 98724096.

The previous prime is 379634027. The next prime is 379634077. The reversal of 379634040 is 40436973.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 379633986 and 379634004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1370382 + ... + 1370658.

Almost surely, 2^379634040 is an apocalyptic number.

379634040 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 379634040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656324640).

379634040 is an abundant number, since it is smaller than the sum of its proper divisors (933015240).

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

379634040 is a wasteful number, since it uses less digits than its factorization.

379634040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 379634040 is about 19484.1997526201. The cubic root of 379634040 is about 724.0830516327.

The spelling of 379634040 in words is "three hundred seventy-nine million, six hundred thirty-four thousand, forty".