3403008000 has 576 divisors, whose sum is σ = 14084703360. Its totient is φ = 774144000.

The previous prime is 3403007989. The next prime is 3403008019. The reversal of 3403008000 is 8003043.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16127895 + ... + 16128105.

It is an arithmetic number, because the mean of its divisors is an integer number (24452610).

Almost surely, 2^3403008000 is an apocalyptic number.

3403008000 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 3403008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7042351680).

3403008000 is an abundant number, since it is smaller than the sum of its proper divisors (10681695360).

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

3403008000 is a wasteful number, since it uses less digits than its factorization.

3403008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3403008000 is about 58335.3066332903. The cubic root of 3403008000 is about 1504.1379079820.

The spelling of 3403008000 in words is "three billion, four hundred three million, eight thousand".