3481924032 has 84 divisors (see below), whose sum is σ = 9996540840. Its totient is φ = 1158753792.

The previous prime is 3481923989. The next prime is 3481924067. The reversal of 3481924032 is 2304291843.

3481924032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374998 + ... + 384170.

Almost surely, 2^3481924032 is an apocalyptic number.

3481924032 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 3481924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998270420).

3481924032 is an abundant number, since it is smaller than the sum of its proper divisors (6514616808).

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

3481924032 is a wasteful number, since it uses less digits than its factorization.

3481924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9850 (or 9837 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3481924032 is about 59007.8302600596. The cubic root of 3481924032 is about 1515.6761978338.

The spelling of 3481924032 in words is "three billion, four hundred eighty-one million, nine hundred twenty-four thousand, thirty-two".