3401000672 has 48 divisors (see below), whose sum is σ = 6888641760. Its totient is φ = 1652132352.

The previous prime is 3401000657. The next prime is 3401000683. The reversal of 3401000672 is 2760001043.

3401000672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164954 + ... + 184422.

It is an arithmetic number, because the mean of its divisors is an integer number (143513370).

Almost surely, 2^3401000672 is an apocalyptic number.

3401000672 is a gapful number since it is divisible by the number (32) 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 3401000672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444320880).

3401000672 is an abundant number, since it is smaller than the sum of its proper divisors (3487641088).

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

3401000672 is a wasteful number, since it uses less digits than its factorization.

3401000672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19635 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 3401000672 is about 58318.0990087983. The cubic root of 3401000672 is about 1503.8421018406.

The spelling of 3401000672 in words is "three billion, four hundred one million, six hundred seventy-two", and thus it is an aban number.