3689125440 has 672 divisors, whose sum is σ = 15891052800. Its totient is φ = 705576960.

The previous prime is 3689125399. The next prime is 3689125501. The reversal of 3689125440 is 445219863.

3689125440 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3689125392 and 3689125401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570386 + ... + 10570734.

It is an arithmetic number, because the mean of its divisors is an integer number (23647400).

Almost surely, 2^3689125440 is an apocalyptic number.

3689125440 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 3689125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945526400).

3689125440 is an abundant number, since it is smaller than the sum of its proper divisors (12201927360).

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

3689125440 is a wasteful number, since it uses less digits than its factorization.

3689125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3689125440 is about 60738.1711940687. The cubic root of 3689125440 is about 1545.1636194162.

The spelling of 3689125440 in words is "three billion, six hundred eighty-nine million, one hundred twenty-five thousand, four hundred forty".