3797951040 has 504 divisors, whose sum is σ = 14900486328. Its totient is φ = 882524160.

The previous prime is 3797950999. The next prime is 3797951057. The reversal of 3797951040 is 401597973.

3797951040 is a `hidden beast` number, since 3 + 7 + 97 + 9 + 510 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 174874176 + 3623076864 = 13224^2 + 60192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13515700 + ... + 13515980.

It is an arithmetic number, because the mean of its divisors is an integer number (29564457).

Almost surely, 2^3797951040 is an apocalyptic number.

3797951040 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 3797951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450243164).

3797951040 is an abundant number, since it is smaller than the sum of its proper divisors (11102535288).

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

3797951040 is a wasteful number, since it uses less digits than its factorization.

3797951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 3797951040 is about 61627.5185286573. The cubic root of 3797951040 is about 1560.2102280783.

The spelling of 3797951040 in words is "three billion, seven hundred ninety-seven million, nine hundred fifty-one thousand, forty".