3481006074 has 128 divisors (see below), whose sum is σ = 9057269760. Its totient is φ = 866121984.

The previous prime is 3481006063. The next prime is 3481006099. The reversal of 3481006074 is 4706001843.

It is a super-3 number, since 3×3481006074³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3184272 + ... + 3185364.

It is an arithmetic number, because the mean of its divisors is an integer number (70759920).

Almost surely, 2^3481006074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481006074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528634880).

3481006074 is an abundant number, since it is smaller than the sum of its proper divisors (5576263686).

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

3481006074 is a wasteful number, since it uses less digits than its factorization.

3481006074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 3481006074 is about 59000.0514745538. The cubic root of 3481006074 is about 1515.5429908900.

The spelling of 3481006074 in words is "three billion, four hundred eighty-one million, six thousand, seventy-four".