3764166600240 has 480 divisors, whose sum is σ = 13953646766592. Its totient is φ = 905195520000.

The previous prime is 3764166600239. The next prime is 3764166600247. The reversal of 3764166600240 is 420066614673.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3764166600247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38274330 + ... + 38372550.

Almost surely, 2^{3764166600240} is an apocalyptic number.

3764166600240 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 3764166600240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976823383296).

3764166600240 is an abundant number, since it is smaller than the sum of its proper divisors (10189480166352).

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

3764166600240 is a wasteful number, since it uses less digits than its factorization.

3764166600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98389 (or 98380 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3764166600240 in words is "three trillion, seven hundred sixty-four billion, one hundred sixty-six million, six hundred thousand, two hundred forty".