3855402457200 has 2700 divisors, whose sum is σ = 17597175829200. Its totient is φ = 807923289600.

The previous prime is 3855402457199. The next prime is 3855402457213. The reversal of 3855402457200 is 27542045583.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3855402457200 is a `hidden beast` number, since 3 + 8 + 5 + 54 + 0 + 24 + 572 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

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 539 ways as a sum of consecutive naturals, for example, 124367821185 + ... + 124367821215.

Almost surely, 2^{3855402457200} is an apocalyptic number.

3855402457200 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 3855402457200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8798587914600).

3855402457200 is an abundant number, since it is smaller than the sum of its proper divisors (13741773372000).

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

3855402457200 is a wasteful number, since it uses less digits than its factorization.

3855402457200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

The spelling of 3855402457200 in words is "three trillion, eight hundred fifty-five billion, four hundred two million, four hundred fifty-seven thousand, two hundred".