3661030697688 has 320 divisors, whose sum is σ = 12637131312960. Its totient is φ = 964285461504.

The previous prime is 3661030697683. The next prime is 3661030697713. The reversal of 3661030697688 is 8867960301663.

3661030697688 is a `hidden beast` number, since 3 + 6 + 610 + 3 + 0 + 6 + 9 + 7 + 6 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661030697683) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45542106 + ... + 45622422.

It is an arithmetic number, because the mean of its divisors is an integer number (39491035353).

Almost surely, 2^{3661030697688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661030697688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318565656480).

3661030697688 is an abundant number, since it is smaller than the sum of its proper divisors (8976100615272).

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

3661030697688 is a wasteful number, since it uses less digits than its factorization.

3661030697688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81128 (or 81115 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3661030697688 in words is "three trillion, six hundred sixty-one billion, thirty million, six hundred ninety-seven thousand, six hundred eighty-eight".