1034377344 has 768 divisors, whose sum is σ = 4300646400. Its totient is φ = 237219840.

The previous prime is 1034377343. The next prime is 1034377373. The reversal of 1034377344 is 4437734301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1034377299 and 1034377308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034377343) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44972917 + ... + 44972939.

It is an arithmetic number, because the mean of its divisors is an integer number (5599800).

Almost surely, 2^1034377344 is an apocalyptic number.

1034377344 is a gapful number since it is divisible by the number (14) 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 1034377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150323200).

1034377344 is an abundant number, since it is smaller than the sum of its proper divisors (3266269056).

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

1034377344 is a wasteful number, since it uses less digits than its factorization.

1034377344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 1034377344 is about 32161.7372665097. The cubic root of 1034377344 is about 1011.3302551457.

The spelling of 1034377344 in words is "one billion, thirty-four million, three hundred seventy-seven thousand, three hundred forty-four".