3412101888 has 432 divisors, whose sum is σ = 11490877440. Its totient is φ = 996323328.

The previous prime is 3412101829. The next prime is 3412101961. The reversal of 3412101888 is 8881012143.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26866881 + ... + 26867007.

Almost surely, 2^3412101888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412101888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745438720).

3412101888 is an abundant number, since it is smaller than the sum of its proper divisors (8078775552).

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

3412101888 is a wasteful number, since it uses less digits than its factorization.

3412101888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 3412101888 is about 58413.1996041990. The cubic root of 3412101888 is about 1505.4765565513.

The spelling of 3412101888 in words is "three billion, four hundred twelve million, one hundred one thousand, eight hundred eighty-eight".