3690217440 has 864 divisors, whose sum is σ = 16469762400. Its totient is φ = 773369856.

The previous prime is 3690217429. The next prime is 3690217441. The reversal of 3690217440 is 447120963.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 3690217395 and 3690217404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3690217441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24766486 + ... + 24766634.

It is an arithmetic number, because the mean of its divisors is an integer number (19062225).

Almost surely, 2^3690217440 is an apocalyptic number.

3690217440 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 3690217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234881200).

3690217440 is an abundant number, since it is smaller than the sum of its proper divisors (12779544960).

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

3690217440 is a wasteful number, since it uses less digits than its factorization.

3690217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3690217440 is about 60747.1599336134. The cubic root of 3690217440 is about 1545.3160631540.

The spelling of 3690217440 in words is "three billion, six hundred ninety million, two hundred seventeen thousand, four hundred forty".