37780461952 has 32 divisors (see below), whose sum is σ = 76867175520. Its totient is φ = 18488308224.

The previous prime is 37780461919. The next prime is 37780461991. The reversal of 37780461952 is 25916408773.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 37780461952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3133983 + ... + 3146014.

It is an arithmetic number, because the mean of its divisors is an integer number (2402099235).

It is a 1-persistent number, because it is pandigital, but 2⋅37780461952 = 75560923904 is not.

Almost surely, 2^37780461952 is an apocalyptic number.

37780461952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

37780461952 is an abundant number, since it is smaller than the sum of its proper divisors (39086713568).

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

37780461952 is an equidigital number, since it uses as much as digits as its factorization.

37780461952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6280058 (or 6280046 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 37780461952 in words is "thirty-seven billion, seven hundred eighty million, four hundred sixty-one thousand, nine hundred fifty-two".