3741867840 has 224 divisors, whose sum is σ = 12194292096. Its totient is φ = 971776000.

The previous prime is 3741867817. The next prime is 3741867931. The reversal of 3741867840 is 487681473.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3741867840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12770734 + ... + 12771026.

It is an arithmetic number, because the mean of its divisors is an integer number (54438804).

Almost surely, 2^3741867840 is an apocalyptic number.

3741867840 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 3741867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097146048).

3741867840 is an abundant number, since it is smaller than the sum of its proper divisors (8452424256).

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

3741867840 is a wasteful number, since it uses less digits than its factorization.

3741867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3741867840 is about 61170.8087244234. The cubic root of 3741867840 is about 1552.4923952216.

The spelling of 3741867840 in words is "three billion, seven hundred forty-one million, eight hundred sixty-seven thousand, eight hundred forty".