3485034432 has 336 divisors, whose sum is σ = 11320418304. Its totient is φ = 1016064000.

The previous prime is 3485034431. The next prime is 3485034433. The reversal of 3485034432 is 2344305843.

It is an interprime number because it is at equal distance from previous prime (3485034431) and next prime (3485034433).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485034431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27441153 + ... + 27441279.

Almost surely, 2^3485034432 is an apocalyptic number.

3485034432 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 3485034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660209152).

3485034432 is an abundant number, since it is smaller than the sum of its proper divisors (7835383872).

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

3485034432 is a wasteful number, since it uses less digits than its factorization.

3485034432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 3485034432 is about 59034.1802009649. The cubic root of 3485034432 is about 1516.1273809652.

The spelling of 3485034432 in words is "three billion, four hundred eighty-five million, thirty-four thousand, four hundred thirty-two".