3494145600 has 1008 divisors, whose sum is σ = 15133198080. Its totient is φ = 783820800.

The previous prime is 3494145569. The next prime is 3494145631. The reversal of 3494145600 is 65414943.

3494145600 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 1 + 45 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3494145569) and next prime (3494145631).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81259179 + ... + 81259221.

Almost surely, 2^3494145600 is an apocalyptic number.

3494145600 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 3494145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566599040).

3494145600 is an abundant number, since it is smaller than the sum of its proper divisors (11639052480).

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

3494145600 is a wasteful number, since it uses less digits than its factorization.

3494145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3494145600 is about 59111.2984124017. The cubic root of 3494145600 is about 1517.4474703329.

The spelling of 3494145600 in words is "three billion, four hundred ninety-four million, one hundred forty-five thousand, six hundred".