3825874062072 has 512 divisors, whose sum is σ = 11573020800000. Its totient is φ = 1181322455040.

The previous prime is 3825874062037. The next prime is 3825874062091. The reversal of 3825874062072 is 2702604785283.

3825874062072 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 8 + 7 + 4 + 0 + 620 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5805574879 + ... + 5805575537.

It is an arithmetic number, because the mean of its divisors is an integer number (22603556250).

Almost surely, 2^{3825874062072} 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 3825874062072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786510400000).

3825874062072 is an abundant number, since it is smaller than the sum of its proper divisors (7747146737928).

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

3825874062072 is a wasteful number, since it uses less digits than its factorization.

3825874062072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 3825874062072 in words is "three trillion, eight hundred twenty-five billion, eight hundred seventy-four million, sixty-two thousand, seventy-two".