3748770631116 has 144 divisors (see below), whose sum is σ = 11308857446880. Its totient is φ = 1070789207040.

The previous prime is 3748770631091. The next prime is 3748770631141. The reversal of 3748770631116 is 6111360778473.

It is a happy number.

3748770631116 is a `hidden beast` number, since 37 + 487 + 70 + 63 + 1 + 1 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3748770631091) and next prime (3748770631141).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19979176 + ... + 20165936.

It is an arithmetic number, because the mean of its divisors is an integer number (78533732270).

Almost surely, 2^{3748770631116} is an apocalyptic number.

3748770631116 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 3748770631116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654428723440).

3748770631116 is an abundant number, since it is smaller than the sum of its proper divisors (7560086815764).

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

3748770631116 is a wasteful number, since it uses less digits than its factorization.

3748770631116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190581 (or 190566 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 3748770631116 in words is "three trillion, seven hundred forty-eight billion, seven hundred seventy million, six hundred thirty-one thousand, one hundred sixteen".