3475449600 has 432 divisors, whose sum is σ = 13808282880. Its totient is φ = 752025600.

The previous prime is 3475449547. The next prime is 3475449611. The reversal of 3475449600 is 69445743.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2552920 + ... + 2554280.

Almost surely, 2^3475449600 is an apocalyptic number.

3475449600 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 3475449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6904141440).

3475449600 is an abundant number, since it is smaller than the sum of its proper divisors (10332833280).

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

3475449600 is a wasteful number, since it uses less digits than its factorization.

3475449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 3475449600 is about 58952.9439468463. The cubic root of 3475449600 is about 1514.7361781782.

The spelling of 3475449600 in words is "three billion, four hundred seventy-five million, four hundred forty-nine thousand, six hundred".