3659138391090 has 512 divisors, whose sum is σ = 12079549440000. Its totient is φ = 686501609472.

The previous prime is 3659138391089. The next prime is 3659138391101. The reversal of 3659138391090 is 901938319563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 3659138391090.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 334192936 + ... + 334203884.

It is an arithmetic number, because the mean of its divisors is an integer number (23592870000).

Almost surely, 2^{3659138391090} is an apocalyptic number.

3659138391090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3659138391090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039774720000).

3659138391090 is an abundant number, since it is smaller than the sum of its proper divisors (8420411048910).

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

3659138391090 is a wasteful number, since it uses less digits than its factorization.

3659138391090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394.

The product of its (nonzero) digits is 4723920, while the sum is 57.

The spelling of 3659138391090 in words is "three trillion, six hundred fifty-nine billion, one hundred thirty-eight million, three hundred ninety-one thousand, ninety".