3673175040 has 440 divisors, whose sum is σ = 13963602312. Its totient is φ = 920125440.

The previous prime is 3673175039. The next prime is 3673175063. The reversal of 3673175040 is 405713763.

It can be written as a sum of positive squares in 4 ways, for example, as 454201344 + 3218973696 = 21312^2 + 56736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3673174986 and 3673175004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7049980 + ... + 7050500.

Almost surely, 2^3673175040 is an apocalyptic number.

3673175040 is a gapful number since it is divisible by the number (30) 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 3673175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981801156).

3673175040 is an abundant number, since it is smaller than the sum of its proper divisors (10290427272).

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

3673175040 is a wasteful number, since it uses less digits than its factorization.

3673175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3673175040 is about 60606.7243793954. The cubic root of 3673175040 is about 1542.9334988666.

The spelling of 3673175040 in words is "three billion, six hundred seventy-three million, one hundred seventy-five thousand, forty".