3725046144 has 384 divisors, whose sum is σ = 11976007680. Its totient is φ = 1149603840.

The previous prime is 3725046131. The next prime is 3725046173. The reversal of 3725046144 is 4416405273.

3725046144 is a `hidden beast` number, since 3 + 7 + 2 + 504 + 6 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×3725046144³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3725046099 and 3725046108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29331009 + ... + 29331135.

It is an arithmetic number, because the mean of its divisors is an integer number (31187520).

Almost surely, 2^3725046144 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 3725046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988003840).

3725046144 is an abundant number, since it is smaller than the sum of its proper divisors (8250961536).

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

3725046144 is a wasteful number, since it uses less digits than its factorization.

3725046144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3725046144 is about 61033.1561038752. The cubic root of 3725046144 is about 1550.1624725977.

The spelling of 3725046144 in words is "three billion, seven hundred twenty-five million, forty-six thousand, one hundred forty-four".