3690265703040 has 1920 divisors, whose sum is σ = 16417945993680. Its totient is φ = 784796221440.

The previous prime is 3690265703027. The next prime is 3690265703071. The reversal of 3690265703040 is 403075620963.

3690265703040 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 2 + 6 + 570 + 30 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1387325911104 + 2302939791936 = 1177848^2 + 1517544^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4188723400 + ... + 4188724280.

Almost surely, 2^{3690265703040} is an apocalyptic number.

3690265703040 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 3690265703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8208972996840).

3690265703040 is an abundant number, since it is smaller than the sum of its proper divisors (12727680290640).

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

3690265703040 is a wasteful number, since it uses less digits than its factorization.

3690265703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3690265703040 in words is "three trillion, six hundred ninety billion, two hundred sixty-five million, seven hundred three thousand, forty".