3502949472 has 288 divisors, whose sum is σ = 11268784800. Its totient is φ = 1022976000.

The previous prime is 3502949447. The next prime is 3502949503. The reversal of 3502949472 is 2749492053.

3502949472 is a `hidden beast` number, since 350 + 294 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19353222 + ... + 19353402.

It is an arithmetic number, because the mean of its divisors is an integer number (39127725).

Almost surely, 2^3502949472 is an apocalyptic number.

3502949472 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 3502949472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5634392400).

3502949472 is an abundant number, since it is smaller than the sum of its proper divisors (7765835328).

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

3502949472 is a wasteful number, since it uses less digits than its factorization.

3502949472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3502949472 is about 59185.7201696490. The cubic root of 3502949472 is about 1518.7208582937.

The spelling of 3502949472 in words is "three billion, five hundred two million, nine hundred forty-nine thousand, four hundred seventy-two".