37875651840 has 1728 divisors, whose sum is σ = 168742828800. Its totient is φ = 8026324992.

The previous prime is 37875651839. The next prime is 37875651841. The reversal of 37875651840 is 4815657873.

It is a happy number.

37875651840 is a `hidden beast` number, since 3 + 7 + 87 + 5 + 6 + 518 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (37875651839) and next prime (37875651841).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37875651841) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1306056946 + ... + 1306056974.

It is an arithmetic number, because the mean of its divisors is an integer number (97652100).

Almost surely, 2^37875651840 is an apocalyptic number.

37875651840 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 37875651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84371414400).

37875651840 is an abundant number, since it is smaller than the sum of its proper divisors (130867176960).

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

37875651840 is a wasteful number, since it uses less digits than its factorization.

37875651840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 37875651840 in words is "thirty-seven billion, eight hundred seventy-five million, six hundred fifty-one thousand, eight hundred forty".