37642340736 has 1344 divisors, whose sum is σ = 156686883840. Its totient is φ = 8734003200.

The previous prime is 37642340717. The next prime is 37642340741. The reversal of 37642340736 is 63704324673.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 37642340691 and 37642340700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1214269041 + ... + 1214269071.

Almost surely, 2^37642340736 is an apocalyptic number.

37642340736 is a gapful number since it is divisible by the number (36) 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 37642340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78343441920).

37642340736 is an abundant number, since it is smaller than the sum of its proper divisors (119044543104).

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

37642340736 is a wasteful number, since it uses less digits than its factorization.

37642340736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 45.

The spelling of 37642340736 in words is "thirty-seven billion, six hundred forty-two million, three hundred forty thousand, seven hundred thirty-six".