3500480400 has 240 divisors, whose sum is σ = 11926486656. Its totient is φ = 875663360.

The previous prime is 3500480381. The next prime is 3500480471. The reversal of 3500480400 is 40840053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461604 + ... + 1463996.

Almost surely, 2^3500480400 is an apocalyptic number.

3500480400 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 3500480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5963243328).

3500480400 is an abundant number, since it is smaller than the sum of its proper divisors (8426006256).

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

3500480400 is a wasteful number, since it uses less digits than its factorization.

3500480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3500480400 is about 59164.8578127253. The cubic root of 3500480400 is about 1518.3639483476.

The spelling of 3500480400 in words is "three billion, five hundred million, four hundred eighty thousand, four hundred".