3768483840 has 512 divisors, whose sum is σ = 14268804480. Its totient is φ = 838860800.

The previous prime is 3768483787. The next prime is 3768483847. The reversal of 3768483840 is 483848673.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3768483840² = 28402940904682291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (3768483847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91914220 + ... + 91914260.

Almost surely, 2^3768483840 is an apocalyptic number.

3768483840 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 3768483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7134402240).

3768483840 is an abundant number, since it is smaller than the sum of its proper divisors (10500320640).

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

3768483840 is a wasteful number, since it uses less digits than its factorization.

3768483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The square root of 3768483840 is about 61387.9779761477. The cubic root of 3768483840 is about 1556.1646744077.

The spelling of 3768483840 in words is "three billion, seven hundred sixty-eight million, four hundred eighty-three thousand, eight hundred forty".