3787628040 has 640 divisors, whose sum is σ = 15581237760. Its totient is φ = 806547456.

The previous prime is 3787627997. The next prime is 3787628041. The reversal of 3787628040 is 408267873.

It is a happy number.

It is a super-2 number, since 2×3787628040² = 28692252338788483200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3787628041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27646852 + ... + 27646988.

It is an arithmetic number, because the mean of its divisors is an integer number (24345684).

Almost surely, 2^3787628040 is an apocalyptic number.

3787628040 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 3787628040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7790618880).

3787628040 is an abundant number, since it is smaller than the sum of its proper divisors (11793609720).

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

3787628040 is a wasteful number, since it uses less digits than its factorization.

3787628040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3787628040 is about 61543.7083705556. The cubic root of 3787628040 is about 1558.7953718036.

The spelling of 3787628040 in words is "three billion, seven hundred eighty-seven million, six hundred twenty-eight thousand, forty".