37978237440 has 480 divisors, whose sum is σ = 154537358976. Its totient is φ = 8497889280.

The previous prime is 37978237433. The next prime is 37978237459. The reversal of 37978237440 is 4473287973.

37978237440 is a `hidden beast` number, since 3 + 7 + 97 + 82 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×37978237440³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3288957 + ... + 3300483.

Almost surely, 2^37978237440 is an apocalyptic number.

37978237440 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 37978237440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77268679488).

37978237440 is an abundant number, since it is smaller than the sum of its proper divisors (116559121536).

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

37978237440 is a wasteful number, since it uses less digits than its factorization.

37978237440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 37978237440 in words is "thirty-seven billion, nine hundred seventy-eight million, two hundred thirty-seven thousand, four hundred forty".