3485970432 has 520 divisors, whose sum is σ = 12686220800. Its totient is φ = 931627008.

The previous prime is 3485970421. The next prime is 3485970437. The reversal of 3485970432 is 2340795843.

It is not an unprimeable number, because it can be changed into a prime (3485970437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44126169 + ... + 44126247.

Almost surely, 2^3485970432 is an apocalyptic number.

3485970432 is a gapful number since it is divisible by the number (32) 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 3485970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343110400).

3485970432 is an abundant number, since it is smaller than the sum of its proper divisors (9200250368).

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

3485970432 is an equidigital number, since it uses as much as digits as its factorization.

3485970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3485970432 is about 59042.1072794662. The cubic root of 3485970432 is about 1516.2631011166.

The spelling of 3485970432 in words is "three billion, four hundred eighty-five million, nine hundred seventy thousand, four hundred thirty-two".