3435078780 has 480 divisors, whose sum is σ = 13172544000. Its totient is φ = 731939328.

The previous prime is 3435078763. The next prime is 3435078821. The reversal of 3435078780 is 878705343.

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

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, 23054146 + ... + 23054294.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 2^3435078780 is an apocalyptic number.

3435078780 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 3435078780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272000).

3435078780 is an abundant number, since it is smaller than the sum of its proper divisors (9737465220).

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

3435078780 is a wasteful number, since it uses less digits than its factorization.

3435078780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3435078780 is about 58609.5451270525. The cubic root of 3435078780 is about 1508.8482628671.

The spelling of 3435078780 in words is "three billion, four hundred thirty-five million, seventy-eight thousand, seven hundred eighty".