3774125040 has 480 divisors, whose sum is σ = 14513356800. Its totient is φ = 810819072.

The previous prime is 3774124987. The next prime is 3774125063. The reversal of 3774125040 is 405214773.

3774125040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3774124992 and 3774125010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29717457 + ... + 29717583.

It is an arithmetic number, because the mean of its divisors is an integer number (30236160).

Almost surely, 2^3774125040 is an apocalyptic number.

3774125040 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 3774125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256678400).

3774125040 is an abundant number, since it is smaller than the sum of its proper divisors (10739231760).

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

3774125040 is a wasteful number, since it uses less digits than its factorization.

3774125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 3774125040 is about 61433.9079010932. The cubic root of 3774125040 is about 1556.9407831210.

The spelling of 3774125040 in words is "three billion, seven hundred seventy-four million, one hundred twenty-five thousand, forty".