3502838304 has 576 divisors, whose sum is σ = 13072389120. Its totient is φ = 905748480.

The previous prime is 3502838303. The next prime is 3502838357. The reversal of 3502838304 is 4038382053.

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

It is not an unprimeable number, because it can be changed into a prime (3502838303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22310994 + ... + 22311150.

It is an arithmetic number, because the mean of its divisors is an integer number (22695120).

Almost surely, 2^3502838304 is an apocalyptic number.

3502838304 is a gapful number since it is divisible by the number (34) 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 3502838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536194560).

3502838304 is an abundant number, since it is smaller than the sum of its proper divisors (9569550816).

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

3502838304 is a wasteful number, since it uses less digits than its factorization.

3502838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3502838304 is about 59184.7810167445. The cubic root of 3502838304 is about 1518.7047923138.

The spelling of 3502838304 in words is "three billion, five hundred two million, eight hundred thirty-eight thousand, three hundred four".