35478374400 has 864 divisors, whose sum is σ = 153991393920. Its totient is φ = 7620526080.

The previous prime is 35478374329. The next prime is 35478374429. The reversal of 35478374400 is 447387453.

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 71 ways as a sum of consecutive naturals, for example, 54834877 + ... + 54835523.

It is an arithmetic number, because the mean of its divisors is an integer number (178230780).

Almost surely, 2^35478374400 is an apocalyptic number.

35478374400 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 35478374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995696960).

35478374400 is an abundant number, since it is smaller than the sum of its proper divisors (118513019520).

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

35478374400 is a wasteful number, since it uses less digits than its factorization.

35478374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 35478374400 in words is "thirty-five billion, four hundred seventy-eight million, three hundred seventy-four thousand, four hundred".