3329996670000 has 3600 divisors, whose sum is σ = 16665082866432. Its totient is φ = 621457920000.

The previous prime is 3329996669977. The next prime is 3329996670017. The reversal of 3329996670000 is 766999233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×3329996670000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 89999909982 + ... + 89999910018.

Almost surely, 2^{3329996670000} is an apocalyptic number.

3329996670000 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 3329996670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8332541433216).

3329996670000 is an abundant number, since it is smaller than the sum of its proper divisors (13335086196432).

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

3329996670000 is a wasteful number, since it uses less digits than its factorization.

3329996670000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 3329996670000 in words is "three trillion, three hundred twenty-nine billion, nine hundred ninety-six million, six hundred seventy thousand".