3869073734400 has 1080 divisors, whose sum is σ = 16383675655424. Its totient is φ = 882507571200.

The previous prime is 3869073734369. The next prime is 3869073734411. The reversal of 3869073734400 is 44373709683.

It is a happy number.

3869073734400 is a `hidden beast` number, since 3 + 8 + 69 + 0 + 73 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2507500029 + ... + 2507501571.

Almost surely, 2^{3869073734400} is an apocalyptic number.

3869073734400 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 3869073734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191837827712).

3869073734400 is an abundant number, since it is smaller than the sum of its proper divisors (12514601921024).

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

3869073734400 is a wasteful number, since it uses less digits than its factorization.

3869073734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3869073734400 in words is "three trillion, eight hundred sixty-nine billion, seventy-three million, seven hundred thirty-four thousand, four hundred".