3751345751040 has 704 divisors, whose sum is σ = 14228097638400. Its totient is φ = 934026412032.

The previous prime is 3751345751009. The next prime is 3751345751059. The reversal of 3751345751040 is 401575431573.

3751345751040 is a `hidden beast` number, since 3 + 7 + 5 + 1 + 34 + 575 + 1 + 0 + 40 = 666.

It is a super-2 number, since 2×3751345751040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298453876 + ... + 298466444.

Almost surely, 2^{3751345751040} is an apocalyptic number.

3751345751040 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 3751345751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7114048819200).

3751345751040 is an abundant number, since it is smaller than the sum of its proper divisors (10476751887360).

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

3751345751040 is a wasteful number, since it uses less digits than its factorization.

3751345751040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12747 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 3751345751040 in words is "three trillion, seven hundred fifty-one billion, three hundred forty-five million, seven hundred fifty-one thousand, forty".