3401792 has 28 divisors (see below), whose sum is σ = 7046976. Its totient is φ = 1626240.

The previous prime is 3401777. The next prime is 3401807. The reversal of 3401792 is 2971043.

It is an interprime number because it is at equal distance from previous prime (3401777) and next prime (3401807).

It is a super-2 number, since 2×3401792² = 23144377622528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 317 + ... + 2627.

Almost surely, 2^3401792 is an apocalyptic number.

3401792 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 3401792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523488).

3401792 is an abundant number, since it is smaller than the sum of its proper divisors (3645184).

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

3401792 is a wasteful number, since it uses less digits than its factorization.

3401792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 3401792 is about 1844.3947516733. The cubic root of 3401792 is about 150.3958728308.

The spelling of 3401792 in words is "three million, four hundred one thousand, seven hundred ninety-two".