3403572480 has 576 divisors, whose sum is σ = 15070003200. Its totient is φ = 706682880.

The previous prime is 3403572461. The next prime is 3403572503. The reversal of 3403572480 is 842753043.

It is a happy number.

3403572480 is a `hidden beast` number, since 3 + 4 + 0 + 3 + 572 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3403572480² = 23168611253226700800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2660481 + ... + 2661759.

It is an arithmetic number, because the mean of its divisors is an integer number (26163200).

Almost surely, 2^3403572480 is an apocalyptic number.

3403572480 is a gapful number since it is divisible by the number (30) 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 3403572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535001600).

3403572480 is an abundant number, since it is smaller than the sum of its proper divisors (11666430720).

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

3403572480 is a wasteful number, since it uses less digits than its factorization.

3403572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1327 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3403572480 is about 58340.1446690013. The cubic root of 3403572480 is about 1504.2210705668.

The spelling of 3403572480 in words is "three billion, four hundred three million, five hundred seventy-two thousand, four hundred eighty".