1034445336372 has 192 divisors, whose sum is σ = 3227583744000. Its totient is φ = 279892329984.

The previous prime is 1034445336349. The next prime is 1034445336433. The reversal of 1034445336372 is 2736335444301.

1034445336372 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 4 + 5 + 3 + 3 + 637 + 2 = 666.

It is a super-2 number, since 2×1034445336372² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 41600079 + ... + 41624937.

It is an arithmetic number, because the mean of its divisors is an integer number (16810332000).

Almost surely, 2^{1034445336372} is an apocalyptic number.

1034445336372 is a gapful number since it is divisible by the number (12) 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 1034445336372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613791872000).

1034445336372 is an abundant number, since it is smaller than the sum of its proper divisors (2193138407628).

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

1034445336372 is a wasteful number, since it uses less digits than its factorization.

1034445336372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27795 (or 27787 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 1034445336372 in words is "one trillion, thirty-four billion, four hundred forty-five million, three hundred thirty-six thousand, three hundred seventy-two".