3746254607928 has 640 divisors, whose sum is σ = 12597342912000. Its totient is φ = 1039077849600.

The previous prime is 3746254607917. The next prime is 3746254607939. The reversal of 3746254607928 is 8297064526473.

3746254607928 is a `hidden beast` number, since 3 + 7 + 4 + 62 + 546 + 0 + 7 + 9 + 28 = 666.

3746254607928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3746254607917) and next prime (3746254607939).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2068610143 + ... + 2068611953.

It is an arithmetic number, because the mean of its divisors is an integer number (19683348300).

Almost surely, 2^{3746254607928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3746254607928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298671456000).

3746254607928 is an abundant number, since it is smaller than the sum of its proper divisors (8851088304072).

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

3746254607928 is a wasteful number, since it uses less digits than its factorization.

3746254607928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 3746254607928 in words is "three trillion, seven hundred forty-six billion, two hundred fifty-four million, six hundred seven thousand, nine hundred twenty-eight".