3480537600 has 420 divisors, whose sum is σ = 12963703566. Its totient is φ = 925655040.

The previous prime is 3480537589. The next prime is 3480537649. The reversal of 3480537600 is 67350843.

It is a happy number.

3480537600 is a `hidden beast` number, since 3 + 48 + 0 + 5 + 3 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2642782464 + 837755136 = 51408^2 + 28944^2 .

It is a super-2 number, since 2×3480537600² = 24228283970027520000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9331014 + ... + 9331386.

Almost surely, 2^3480537600 is an apocalyptic number.

3480537600 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 3480537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481851783).

3480537600 is an abundant number, since it is smaller than the sum of its proper divisors (9483165966).

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

3480537600 is an frugal number, since it uses more digits than its factorization.

3480537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3480537600 is about 58996.0812257899. The cubic root of 3480537600 is about 1515.4750005518.

The spelling of 3480537600 in words is "three billion, four hundred eighty million, five hundred thirty-seven thousand, six hundred".