3797821440 has 648 divisors, whose sum is σ = 15857748270. Its totient is φ = 838139904.

The previous prime is 3797821429. The next prime is 3797821481. The reversal of 3797821440 is 441287973.

It can be written as a sum of positive squares in 3 ways, for example, as 3110962176 + 686859264 = 55776^2 + 26208^2 .

It is a super-3 number, since 3×3797821440³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 130959346 + ... + 130959374.

Almost surely, 2^3797821440 is an apocalyptic number.

3797821440 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 3797821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928874135).

3797821440 is an abundant number, since it is smaller than the sum of its proper divisors (12059926830).

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

3797821440 is a wasteful number, since it uses less digits than its factorization.

3797821440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 3797821440 is about 61626.4670413614. The cubic root of 3797821440 is about 1560.1924811806.

The spelling of 3797821440 in words is "three billion, seven hundred ninety-seven million, eight hundred twenty-one thousand, four hundred forty".