37407026340 has 576 divisors, whose sum is σ = 130804128000. Its totient is φ = 8935557120.

The previous prime is 37407026323. The next prime is 37407026341. The reversal of 37407026340 is 4362070473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 37407026295 and 37407026304.

It is not an unprimeable number, because it can be changed into a prime (37407026341) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 163349346 + ... + 163349574.

It is an arithmetic number, because the mean of its divisors is an integer number (227090500).

Almost surely, 2^37407026340 is an apocalyptic number.

37407026340 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 37407026340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65402064000).

37407026340 is an abundant number, since it is smaller than the sum of its proper divisors (93397101660).

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

37407026340 is a wasteful number, since it uses less digits than its factorization.

37407026340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The spelling of 37407026340 in words is "thirty-seven billion, four hundred seven million, twenty-six thousand, three hundred forty".