3741256890 has 128 divisors (see below), whose sum is σ = 11427264000. Its totient is φ = 853244928.

The previous prime is 3741256879. The next prime is 3741256891. The reversal of 3741256890 is 986521473.

3741256890 is a `hidden beast` number, since 3 + 74 + 12 + 568 + 9 + 0 = 666.

3741256890 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

3741256890 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (3741256891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960066 + ... + 963954.

It is an arithmetic number, because the mean of its divisors is an integer number (89275500).

It is a 1-persistent number, because it is pandigital, but 2⋅3741256890 = 7482513780 is not.

Almost surely, 2^3741256890 is an apocalyptic number.

3741256890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3741256890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713632000).

3741256890 is an abundant number, since it is smaller than the sum of its proper divisors (7686007110).

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

3741256890 is a wasteful number, since it uses less digits than its factorization.

3741256890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4421 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3741256890 is about 61165.8147170460. The cubic root of 3741256890 is about 1552.4078967041.

The spelling of 3741256890 in words is "three billion, seven hundred forty-one million, two hundred fifty-six thousand, eight hundred ninety".