3833628674503 has 48 divisors (see below), whose sum is σ = 4270230005760. Its totient is φ = 3428514734400.

The previous prime is 3833628674497. The next prime is 3833628674509. The reversal of 3833628674503 is 3054768263383.

It is an interprime number because it is at equal distance from previous prime (3833628674497) and next prime (3833628674509).

It is not a de Polignac number, because 3833628674503 - 2²¹ = 3833626577351 is a prime.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3833628674509) 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, 1070545173 + ... + 1070548753.

It is an arithmetic number, because the mean of its divisors is an integer number (88963125120).

Almost surely, 2^{3833628674503} is an apocalyptic number.

3833628674503 is a deficient number, since it is larger than the sum of its proper divisors (436601331257).

3833628674503 is a wasteful number, since it uses less digits than its factorization.

3833628674503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 3833628674503 in words is "three trillion, eight hundred thirty-three billion, six hundred twenty-eight million, six hundred seventy-four thousand, five hundred three".