3400209912000 has 448 divisors, whose sum is σ = 12479323304448. Its totient is φ = 808737280000.

The previous prime is 3400209911951. The next prime is 3400209912023. The reversal of 3400209912000 is 2199020043.

It is a super-2 number, since 2×3400209912000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13870495 + ... + 14113505.

It is an arithmetic number, because the mean of its divisors is an integer number (27855632376).

Almost surely, 2^{3400209912000} is an apocalyptic number.

3400209912000 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 3400209912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239661652224).

3400209912000 is an abundant number, since it is smaller than the sum of its proper divisors (9079113392448).

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

3400209912000 is a wasteful number, since it uses less digits than its factorization.

3400209912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243105 (or 243085 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 3400209912000 in words is "three trillion, four hundred billion, two hundred nine million, nine hundred twelve thousand".