3386973541 has 48 divisors (see below), whose sum is σ = 4164206592. Its totient is φ = 2743372800.

The previous prime is 3386973487. The next prime is 3386973553. The reversal of 3386973541 is 1453796833.

3386973541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3386973541 - 2¹⁵ = 3386940773 is a prime.

It is a super-2 number, since 2×3386973541² = 22943179534868157362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386973571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18712471 + ... + 18712651.

It is an arithmetic number, because the mean of its divisors is an integer number (86754304).

Almost surely, 2^3386973541 is an apocalyptic number.

3386973541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

3386973541 is a deficient number, since it is larger than the sum of its proper divisors (777233051).

3386973541 is a wasteful number, since it uses less digits than its factorization.

3386973541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 443 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The square root of 3386973541 is about 58197.7107883119. The cubic root of 3386973541 is about 1501.7717643360.

The spelling of 3386973541 in words is "three billion, three hundred eighty-six million, nine hundred seventy-three thousand, five hundred forty-one".