3464985600 has 396 divisors, whose sum is σ = 12888878184. Its totient is φ = 922337280.

The previous prime is 3464985593. The next prime is 3464985617. The reversal of 3464985600 is 65894643.

3464985600 is a `hidden beast` number, since 3 + 46 + 49 + 8 + 560 + 0 = 666.

It is a super-2 number, since 2×3464985600² = 24012250416414720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220522 + ... + 6221078.

Almost surely, 2^3464985600 is an apocalyptic number.

3464985600 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 3464985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444439092).

3464985600 is an abundant number, since it is smaller than the sum of its proper divisors (9423892584).

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

3464985600 is an equidigital number, since it uses as much as digits as its factorization.

3464985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3464985600 is about 58864.1282955927. The cubic root of 3464985600 is about 1513.2144437944.

The spelling of 3464985600 in words is "three billion, four hundred sixty-four million, nine hundred eighty-five thousand, six hundred".