3401970000 has 600 divisors, whose sum is σ = 13185504288. Its totient is φ = 748800000.

The previous prime is 3401969981. The next prime is 3401970023. The reversal of 3401970000 is 791043.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55769970 + ... + 55770030.

Almost surely, 2^3401970000 is an apocalyptic number.

3401970000 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 3401970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592752144).

3401970000 is an abundant number, since it is smaller than the sum of its proper divisors (9783534288).

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

3401970000 is a wasteful number, since it uses less digits than its factorization.

3401970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 3401970000 is about 58326.4091128538. The cubic root of 3401970000 is about 1503.9849595787.

The spelling of 3401970000 in words is "three billion, four hundred one million, nine hundred seventy thousand".