3764234073600 has 5040 divisors, whose sum is σ = 19486318224384. Its totient is φ = 698720256000.

The previous prime is 3764234073541. The next prime is 3764234073659. The reversal of 3764234073600 is 63704324673.

3764234073600 is a `hidden beast` number, since 3 + 7 + 6 + 4 + 2 + 34 + 0 + 7 + 3 + 600 = 666.

3764234073600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3764234073541) and next prime (3764234073659).

It is a tau number, because it is divible by the number of its divisors (5040).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 121426905585 + ... + 121426905615.

Almost surely, 2^{3764234073600} is an apocalyptic number.

3764234073600 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 3764234073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9743159112192).

3764234073600 is an abundant number, since it is smaller than the sum of its proper divisors (15722084150784).

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

3764234073600 is a wasteful number, since it uses less digits than its factorization.

3764234073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 3764234073600 in words is "three trillion, seven hundred sixty-four billion, two hundred thirty-four million, seventy-three thousand, six hundred".