3289916201400 has 336 divisors, whose sum is σ = 11474789673600. Its totient is φ = 876817405440.

The previous prime is 3289916201381. The next prime is 3289916201401. The reversal of 3289916201400 is 41026199823.

3289916201400 is a `hidden beast` number, since 3 + 2 + 8 + 9 + 9 + 1 + 620 + 14 + 0 + 0 = 666.

It is a super-2 number, since 2×3289916201400² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289916201401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 311569321 + ... + 311579879.

Almost surely, 2^{3289916201400} is an apocalyptic number.

3289916201400 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 3289916201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737394836800).

3289916201400 is an abundant number, since it is smaller than the sum of its proper divisors (8184873472200).

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

3289916201400 is a wasteful number, since it uses less digits than its factorization.

3289916201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12730 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3289916201400 in words is "three trillion, two hundred eighty-nine billion, nine hundred sixteen million, two hundred one thousand, four hundred".