3740781408 has 384 divisors, whose sum is σ = 13150126080. Its totient is φ = 903260160.

The previous prime is 3740781403. The next prime is 3740781409. The reversal of 3740781408 is 8041870473.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 3740781408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3740781403) 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, 5145141 + ... + 5145867.

It is an arithmetic number, because the mean of its divisors is an integer number (34245120).

Almost surely, 2^3740781408 is an apocalyptic number.

3740781408 is a gapful number since it is divisible by the number (38) 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 3740781408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6575063040).

3740781408 is an abundant number, since it is smaller than the sum of its proper divisors (9409344672).

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

3740781408 is a wasteful number, since it uses less digits than its factorization.

3740781408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 3740781408 is about 61161.9277655634. The cubic root of 3740781408 is about 1552.3421279615.

The spelling of 3740781408 in words is "three billion, seven hundred forty million, seven hundred eighty-one thousand, four hundred eight".