349787970 has 160 divisors (see below), whose sum is σ = 1097712000. Its totient is φ = 79888032.

The previous prime is 349787941. The next prime is 349787981. The reversal of 349787970 is 79787943.

349787970 is a `hidden beast` number, since 3 + 497 + 87 + 9 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 277201 + ... + 278459.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^349787970 is an apocalyptic number.

349787970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349787970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548856000).

349787970 is an abundant number, since it is smaller than the sum of its proper divisors (747924030).

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

349787970 is a wasteful number, since it uses less digits than its factorization.

349787970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 349787970 is about 18702.6193352696. The cubic root of 349787970 is about 704.5875360076.

The spelling of 349787970 in words is "three hundred forty-nine million, seven hundred eighty-seven thousand, nine hundred seventy".