3673693440 has 504 divisors, whose sum is σ = 13726261248. Its totient is φ = 940584960.

The previous prime is 3673693417. The next prime is 3673693447. The reversal of 3673693440 is 443963763.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673693447) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28926657 + ... + 28926783.

Almost surely, 2^3673693440 is an apocalyptic number.

3673693440 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 3673693440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6863130624).

3673693440 is an abundant number, since it is smaller than the sum of its proper divisors (10052567808).

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

3673693440 is an equidigital number, since it uses as much as digits as its factorization.

3673693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3673693440 is about 60611.0009816700. Note that the first 3 decimals coincide. The cubic root of 3673693440 is about 1543.0060808601.

The spelling of 3673693440 in words is "three billion, six hundred seventy-three million, six hundred ninety-three thousand, four hundred forty".