3346502666400 has 144 divisors (see below), whose sum is σ = 12103184721600. Its totient is φ = 892400705280.

The previous prime is 3346502666393. The next prime is 3346502666449. The reversal of 3346502666400 is 46662056433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3346502666400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77443740 + ... + 77486939.

It is an arithmetic number, because the mean of its divisors is an integer number (84049893900).

Almost surely, 2^{3346502666400} is an apocalyptic number.

3346502666400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3346502666400 is an abundant number, since it is smaller than the sum of its proper divisors (8756682055200).

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

3346502666400 is a wasteful number, since it uses less digits than its factorization.

3346502666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154930708 (or 154930689 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3346502666400 in words is "three trillion, three hundred forty-six billion, five hundred two million, six hundred sixty-six thousand, four hundred".