3389961804900 has 288 divisors, whose sum is σ = 10736192839680. Its totient is φ = 819031104000.

The previous prime is 3389961804871. The next prime is 3389961804907. The reversal of 3389961804900 is 94081699833.

It is a super-2 number, since 2×3389961804900² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3389961804907) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605854845 + ... + 1605856955.

It is an arithmetic number, because the mean of its divisors is an integer number (37278447360).

Almost surely, 2^{3389961804900} is an apocalyptic number.

3389961804900 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 3389961804900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368096419840).

3389961804900 is an abundant number, since it is smaller than the sum of its proper divisors (7346231034780).

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

3389961804900 is a wasteful number, since it uses less digits than its factorization.

3389961804900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 3389961804900 in words is "three trillion, three hundred eighty-nine billion, nine hundred sixty-one million, eight hundred four thousand, nine hundred".