3459674400 has 864 divisors, whose sum is σ = 14762055168. Its totient is φ = 696729600.

The previous prime is 3459674399. The next prime is 3459674411. The reversal of 3459674400 is 44769543.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47392764 + ... + 47392836.

It is an arithmetic number, because the mean of its divisors is an integer number (17085712).

Almost surely, 2^3459674400 is an apocalyptic number.

3459674400 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 3459674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381027584).

3459674400 is an abundant number, since it is smaller than the sum of its proper divisors (11302380768).

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

3459674400 is a wasteful number, since it uses less digits than its factorization.

3459674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

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

The square root of 3459674400 is about 58818.9969312636. The cubic root of 3459674400 is about 1512.4408865179.

The spelling of 3459674400 in words is "three billion, four hundred fifty-nine million, six hundred seventy-four thousand, four hundred".