379350000 has 240 divisors, whose sum is σ = 1365850080. Its totient is φ = 100800000.

The previous prime is 379349969. The next prime is 379350031. The reversal of 379350000 is 53973.

It is an interprime number because it is at equal distance from previous prime (379349969) and next prime (379350031).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349860 + ... + 1350140.

It is an arithmetic number, because the mean of its divisors is an integer number (5691042).

Almost surely, 2^379350000 is an apocalyptic number.

379350000 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 379350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682925040).

379350000 is an abundant number, since it is smaller than the sum of its proper divisors (986500080).

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

379350000 is an equidigital number, since it uses as much as digits as its factorization.

379350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 27.

The square root of 379350000 is about 19476.9094057553. The cubic root of 379350000 is about 723.9024216549.

The spelling of 379350000 in words is "three hundred seventy-nine million, three hundred fifty thousand".