3401121000 has 128 divisors (see below), whose sum is σ = 10770514560. Its totient is φ = 893376000.

The previous prime is 3401120981. The next prime is 3401121013. The reversal of 3401121000 is 1211043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192540 + ... + 209460.

It is an arithmetic number, because the mean of its divisors is an integer number (84144645).

Almost surely, 2^3401121000 is an apocalyptic number.

3401121000 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 3401121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385257280).

3401121000 is an abundant number, since it is smaller than the sum of its proper divisors (7369393560).

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

3401121000 is a wasteful number, since it uses less digits than its factorization.

3401121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17012 (or 16998 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 3401121000 is about 58319.1306519567. The cubic root of 3401121000 is about 1503.8598370306.

Adding to 3401121000 its reverse (1211043), we get a palindrome (3402332043).

The spelling of 3401121000 in words is "three billion, four hundred one million, one hundred twenty-one thousand".