349788432 has 80 divisors (see below), whose sum is σ = 1036378112. Its totient is φ = 99584640.

The previous prime is 349788431. The next prime is 349788433. The reversal of 349788432 is 234887943.

It is an interprime number because it is at equal distance from previous prime (349788431) and next prime (349788433).

It is a super-2 number, since 2×349788432² = 244703894322037248, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (349788431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101457 + ... + 104847.

Almost surely, 2^349788432 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 349788432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518189056).

349788432 is an abundant number, since it is smaller than the sum of its proper divisors (686589680).

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

349788432 is a wasteful number, since it uses less digits than its factorization.

349788432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716 (or 3710 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 349788432 is about 18702.6316864766. The cubic root of 349788432 is about 704.5878462139.

The spelling of 349788432 in words is "three hundred forty-nine million, seven hundred eighty-eight thousand, four hundred thirty-two".