3385288632000 has 1344 divisors, whose sum is σ = 12660122861568. Its totient is φ = 796207104000.

The previous prime is 3385288631981. The next prime is 3385288632029. The reversal of 3385288632000 is 2368825833.

It is a super-2 number, since 2×3385288632000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24710135932 + ... + 24710136068.

It is an arithmetic number, because the mean of its divisors is an integer number (9419734272).

Almost surely, 2^{3385288632000} is an apocalyptic number.

3385288632000 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 3385288632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330061430784).

3385288632000 is an abundant number, since it is smaller than the sum of its proper divisors (9274834229568).

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

3385288632000 is a wasteful number, since it uses less digits than its factorization.

3385288632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 3385288632000 in words is "three trillion, three hundred eighty-five billion, two hundred eighty-eight million, six hundred thirty-two thousand".