3401863920 has 560 divisors, whose sum is σ = 14617939392. Its totient is φ = 716636160.

The previous prime is 3401863877. The next prime is 3401863939. The reversal of 3401863920 is 293681043.

3401863920 is a `hidden beast` number, since 3 + 4 + 0 + 18 + 639 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5306800 + ... + 5307440.

Almost surely, 2^3401863920 is an apocalyptic number.

3401863920 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 3401863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7308969696).

3401863920 is an abundant number, since it is smaller than the sum of its proper divisors (11216075472).

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

3401863920 is a wasteful number, since it uses less digits than its factorization.

3401863920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3401863920 is about 58325.4997406795. The cubic root of 3401863920 is about 1503.9693270303.

The spelling of 3401863920 in words is "three billion, four hundred one million, eight hundred sixty-three thousand, nine hundred twenty".